Abstract
SUMMARY This work examines the characteristics of a unique active vibration isolator controlled by a time-delayed position feedback technique. The system under study possesses an appreciable time delay caused by the actuator dynamics. Firstly, direct absolute position and relative position feedbacks are considered. The study reveals several main differences between a negative position feedback and a positive position feedback. Secondly, stability analysis of the delayed position feedback is carried out. Two different feedbacks are studied, namely the delayed negative and delayed positive position feedbacks. The stability chart is determined, and various root loci of the closed-loop systems are presented. Thirdly, an optimum controller design methodology is presented. A numerical optimization is conducted to find an optimum controller for each of the considered control cases. Lastly, an experimental study is conducted to validate the analytical and numerical results and demonstrate the effectiveness of the optimum controllers. Copyright © 2011 John Wiley & Sons, Ltd.
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